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Chapter 9: Q.1 (page 536)
You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. What is the random variable? Describe in words.
Mean internet speed in megabits per second is the random variable.
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The mean age of De Anza College students in a previous term was years old. An instructor thinks the mean age for online students is older than She randomly surveysonline students and finds that the sample mean iswith a standard deviation of Conduct a hypothesis test.
La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was nine months (3/4 year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.
The mean age of De Anza College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 56 online students and finds that the sample mean is 29.4 with a standard deviation of 2.1. Conduct a hypothesis test.
The US Department of Energy reported that 51.7% of homes were heated by natural gas. A random sample of 221 homes in Kentucky found that 115 were heated by natural gas. Does the evidence support the claim for Kentucky at the α = 0.05 level in Kentucky? Are the results applicable across the country? Why?
The National Institute of Mental Health published an article stating that in any one-year period, approximately percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population.
a. Is this a test of one mean or proportion?
b. State the null and alternative hypotheses.
c. Is this a right-tailed, left-tailed, or two-tailed test?
d. What symbol represents the random variable for this test?
e. In words, define the random variable for this test.
f. Calculate the following:
i.
ii.role="math" localid="1649760873126"
iii.
g. Calculate role="math" localid="1649760901479" Show the formula set-up.
h. State the distribution to use for the hypothesis test.
i. Find the -value.
j. At a pre-conceived , what is your:
i. Decision:
ii. Reason for the decision:
iii. Conclusion (write out in a complete sentence):
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